Vector meson dominance in ${\eta }^{\prime }\to {\pi }^0\gamma \gamma$ decay

Abstract

The decay ${\eta }^{\prime }\to {\pi }^0\gamma \gamma$ is studied theoretically in the framework of the Vector Meson Dominance model (VMD). We find theoretically a significant contribution of the interference of $\omega -\rho$ and provide theoretical Dalitz-plots. Comparison with the experimental results of BES-III \cite{BES-III} is done. We find some tension between our predicted value and the observed result. Our calculations can be also checked using the data of GAMS-$4\pi$.